5 of 5 Paul, Fiona and Pip share some sweets in the ratio 4:5:1. Paul gets 15 more sweets than Pip.
How many sweets does Fiona get?

Fiona gets 25 sweets

Step-by-step explanation:

System of Equations

Paul, Fiona, and Pip have some sweets in the ratio 4:5:1. Let's call x,y, and z the number of sweets they have respectively.

The ratios can be written as three separate equations:

Paul has 15 more sweets than Pip, then:

x = z + 15        [4]

Multiplying [3] by z:

x = 4z

Substituing in [4]

4z = z + 15

Subtracting z:

3z = 15

z = 15/3 = 5

Multiplying [2] by z:

y = 5z = 5*5 = 25

Fiona gets 25 sweets

step-by-step explanation:

∆abc has the points a(1, 7), b(-2, 2), and c(4, 2) as its vertices. formed with the point d(1, 2) as its third vertex, then ∆abd is triangle.